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Finding the Third Proportional to 366,460.13 and 560,588.94

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Solution

The third proportional to 366,460.13 and 560,588.94 is: 857,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,460.13 : 560,588.94 = 560,588.94 : x
  2. Step 2: Convert to fraction form
    366,460.13/560,588.94 = 560,588.94/x
  3. Step 3: Cross multiply
    366,460.13x = 560,588.94 × 560,588.94
  4. Step 4: Simplify right side
    366,460.13x = 314,259,956,847.38
  5. Step 5: Solve for x
    x = 314,259,956,847.38/366,460.13
  6. Step 6: Final answer
    x = 857,555.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.